Establishing a memory-dependent photothermoelastic model according to the dual phase lag model on a cylindrical body rotating in an initial magnetic field

This paper deals with the study of photothermoelastic interactions in an isotropic homogeneous semiconductor solid, using a new model of generalized thermoelectricity with a memory-dependent derivative of heat conduction. The plasma and thermal effects study of semiconductor structures include the simulation of a complex system using simultaneous analysis of carrier density, thermal waves, and elastic wave equations. On this topic, there are few research works that have been achieved. To investigate the problem, Tzou’s generalized theory is employed. The governing equations of the system are derived based on the dual-phase lag model (DPL) and the wave equation of coupled plasma. We examined the transient response of a rotating solid cylinder subjected to the applied magnetic field and a time-dependent heat flow under the new proposed model. The analytical expressions for the investigated fields are derived by using the Laplace transform process and the numerical results are graphically previewed. A comparison of the numerical results is provided for various models of thermoelasticity as well as the impact of memory- dependent derivatives. The effects of rotation, time-delay and the kernel function are also investigated

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Pulsed laser heating of a thermoelastic micro-stretch medium under the effect of a magnetic field in the context of a dual-phase-lag model

Indian Journal of Physics ◽

10.1007/s12648-019-01509-4 ◽

2019 ◽

Vol 94 (5) ◽

pp. 619-631 ◽

Cited By ~ 1

Author(s):

Mohamed I. A. Othman ◽

Magda E. M. Zidan ◽

Ibrahim E. A. Mohamed

Keyword(s):

Magnetic Field ◽

Laser Heating ◽

Pulsed Laser ◽

Phase Lag ◽

Dual Phase ◽

Lag Model ◽

Pulsed Laser Heating

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Effect of magnetic field and gravity on two-temperature thermomicrostretch elastic medium under dual-phase lag model

Indian Journal of Physics ◽

10.1007/s12648-019-01444-4 ◽

2019 ◽

Vol 94 (1) ◽

pp. 69-79

Author(s):

Mohamed I. A. Othman ◽

Magda E. M. Zidan ◽

Ibrahim E. A. Mohamed

Keyword(s):

Magnetic Field ◽

Elastic Medium ◽

Phase Lag ◽

Dual Phase ◽

Lag Model ◽

Two Temperature

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Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-03-2021-0212 ◽

2021 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Sunil Kumar ◽

Aarti Kadian ◽

Kapil Kumar Kalkal

Keyword(s):

Gravitational Field ◽

Mechanical Load ◽

Nonlocal Parameter ◽

Phase Lag ◽

Dual Phase ◽

Content Type ◽

Lag Model ◽

Physical Fields ◽

Thermoelastic Problems ◽

The Impact

Purpose The purpose of this study is to analyze the disturbances in a two-dimensional nonlocal, micropolar elastic medium under the dual-phase-lag model of thermoelasticity whose surface is subjected to an inclined mechanical load. The present study is carried out under the influence of gravity. Design/methodology/approach The normal mode technique is used to obtain the exact expressions of the physical fields. Findings For inclined mechanical load, the impact of micropolarity, nonlocal parameter, gravity and inclination angle have been highlighted on the considered physical fields. Originality/value The numerical results are computed for various physical quantities such as displacement, stresses and temperature for a magnesium crystal-like material and are illustrated graphically. The study is valuable for the analysis of thermoelastic problems involving gravitational field, nonlocal parameter, micropolarity and elastic deformations.

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Effect of Magnetic Field on Thermoelastic Micro-Elongated Solid with Diffusion Under Dual-Phase-Lag Model

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455421501893 ◽

2021 ◽

pp. 2150189

Author(s):

Amnah M. Alharbi ◽

Mohamed I. A. Othman ◽

Elsayed M. Abd-Elaziz

Keyword(s):

Magnetic Field ◽

Laser Pulse ◽

Thermal Loading ◽

Normal Mode Analysis ◽

Concentration Field ◽

Mode Analysis ◽

Phase Lag ◽

Dual Phase ◽

Lag Model ◽

Non Gaussian

This study considers a thermoelastic micro-elongated solid which is being heated by a laser pulse in order to investigate the corresponding impact of thermal loading and magnetic field. A laser beam that is non-Gaussian in nature is used to heat the surface of the bounded plane with a pulse duration [Formula: see text][Formula: see text]ps. The dual-phase-lag (DPL) model is considered to develop a better understanding of the problem. Also, the problems are solved using normal mode analysis as well as it helps in attaining the appropriate expressions for micro-rotation, components of displacement, the force stress, couple stress, concentration field, the temperature distribution the scalar micro-elongated function, and the micro-stress. The results obtained from the thermal variations are validated by comparing them to Coupled Theory (CT) of thermo-elasticity, Lord and Shulman (L–S) theory, and the DPL model. The graphical illustration of these comparisons has been presented as it helps in exploring the impacts of the laser pulse at two different times and the magnetic field parameter. The investigation also helped deduce some specific cases of interest.

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